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Finding the Fourth Proportional to 2,806.28, 4,208.88 and 1,074.68

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Solution

The fourth proportional to 2,806.28, 4,208.88 and 1,074.68 is: 1,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.28 : 4,208.88 = 1,074.68 : x
  2. Step 2: Convert to fraction form
    2,806.28/4,208.88 = 1,074.68/x
  3. Step 3: Cross multiply
    2,806.28x = 4,208.88 × 1,074.68
  4. Step 4: Simplify right side
    2,806.28x = 4,523,199.16
  5. Step 5: Solve for x
    x = 4,523,199.16/2,806.28
  6. Step 6: Final answer
    x = 1,611.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.